{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "953ee71b-56cf-4a05-b9dc-096d3bf8cf69",
   "metadata": {},
   "source": [
    "# keras训练模型拟合sin函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cfe1c650-f729-490c-a474-94b13e5eebc1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import keras\n",
    "from keras.layers import *\n",
    "from keras.models import Sequential\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0823eb88-9549-4068-96c8-2e89ff0022cf",
   "metadata": {},
   "source": [
    "### 使用numpy生成sin函数的x和y映射"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3802e4e6-ee7b-4d41-a9a8-c832fde7c3f7",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(0, 1, 10000, dtype='float32')\n",
    "y = (np.sin(x * 2 * np.pi) + 1) * 0.5"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd22ae80-be75-4e97-8332-1284b7d01579",
   "metadata": {},
   "source": [
    "### 绘制`x`, `y`图像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7b617706-f89c-41c0-b830-5aebd01b64bf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x131f62aa5e0>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 768x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=120)\n",
    "plt.plot(x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8d02bab-521d-4e4f-b06a-49715b35f4b1",
   "metadata": {},
   "source": [
    "### 将x,y矩阵转换，变成训练数据，"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9196d37e-dd27-4d3b-bfcc-7ed0a27f2b0a",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_train = x.reshape((-1,1))\n",
    "y_train = y.reshape((-1,1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "50f66b20-c43a-423a-91cb-97bfb7179ed5",
   "metadata": {},
   "source": [
    "### 创建模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2f1f3abd-3f7e-4a91-aa07-3dfb0c23d6f5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"sequential\"\n",
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "dense (Dense)                (None, 32)                64        \n",
      "_________________________________________________________________\n",
      "dense_1 (Dense)              (None, 64)                2112      \n",
      "_________________________________________________________________\n",
      "dense_2 (Dense)              (None, 1)                 65        \n",
      "=================================================================\n",
      "Total params: 2,241\n",
      "Trainable params: 2,241\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "model = Sequential([\n",
    "    InputLayer((1,)),\n",
    "    Dense(32,activation='relu'),\n",
    "    Dense(64,activation='relu'),\n",
    "    Dense(1,activation='sigmoid'),\n",
    "])\n",
    "model.compile(optimizer='adam',\n",
    "             loss='mse',\n",
    "             metrics=['accuracy'])\n",
    "model.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c8f54c6-6096-4f21-9171-199e62424322",
   "metadata": {},
   "source": [
    "### 模型训练"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f3cabd30-9501-426c-ac9e-de0cfd703735",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "model.fit(x_train, y_train, batch_size=10000, epochs=10000)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67f03720-8236-4d05-b173-b235777b807e",
   "metadata": {
    "tags": []
   },
   "source": [
    "### 模型测试"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "269d3ddd-381b-47ae-afa1-76424813df54",
   "metadata": {},
   "outputs": [],
   "source": [
    "predict_y = model.predict(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b76470b-d11a-47f9-a882-cd1b8bd79028",
   "metadata": {},
   "source": [
    "### 拟合结果绘制图像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1402261a-5d2d-4b0a-8c2f-f269a0e14675",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x131f6ff9df0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 921.6x691.2 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=72*2)\n",
    "plt.title('Neural network fitting sin function')\n",
    "plt.plot(x, y, color='b', label='sin')\n",
    "plt.plot(x, predict_y, color='r', label='fitted')\n",
    "plt.legend(loc=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1469fd97-3c88-4b95-96ab-0512ec0a4191",
   "metadata": {},
   "source": [
    "### 模型保存到文件"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "cb1aa2fa-7e41-4ffb-b374-0d5afec7fbcb",
   "metadata": {},
   "outputs": [],
   "source": [
    "model.save('sin.model.h5')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "python3 (tf_gpu)",
   "language": "python",
   "name": "conda-env-tf_gpu-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
